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Thin Film Optics

Calculators for thin film coatings, AR coatings, and dielectric stacks.

45 calculators

Single Layer AR Coating

Quarter-wave antireflection coating design with Snell's law and explicit s/p polarization handling at oblique incidence.

Adhesion Testing

Thin-film adhesion tests: Benjamin–Weaver shear stress from a scratch critical load, Kendall peel energy, ASTM D3359 tape classes, and bend-test film stress with crack and delamination driving forces.

Amplitude Splitting

Multiple-beam interference from amplitude splitting at a thin film. Shows how partial reflections from each interface combine to form interference fringes.

Angle Tuning of Coatings

Changing the angle of incidence shifts the spectral response of thin-film coatings toward shorter wavelengths: s and p spectra of a quarter-wave stack versus angle.

Angle-Dependent Blue Shift

How the effective design wavelength shifts with angle of incidence (blue shift).

Anti-Fog Coating Design

Hydrophilic anti-fog coating: transmittance dry and under a water film, the share of a droplet's footprint lost to total internal reflection, and the wetting tension from the contact angle.

Bandpass Filter

Fabry-Perot bandpass — multi-cavity design with quarter-wave mirrors and half-wave spacers.

Beamsplitter Design

Design a dielectric beamsplitter for a target reflectance: the single-layer index it needs, quarter-wave stack reflectances, a thinned-layer design and an all-quarter-wave H M H design.

Bragg Reflector

Dielectric distributed Bragg reflector: reflectance spectrum, stop band and period, and the band structure of the 1D photonic crystal with its gap/midgap ratio and Bloch decay per period.

Coating Stress & Curvature

Substrate curvature and radius from thin-film stress with the Stoney equation.

Cold Mirror Design

Cold mirror design: long-pass quarter-wave stacks in series reflect the visible and transmit the infrared. Mean R, IR transmittance and the edge.

Dichroic Beam Splitter

Dichroic beam splitter at oblique incidence. Shows s- and p-polarisation splitting characteristic of dichroic filters used at 45°.

Dielectric High Reflector

Quarter-wave dielectric stack HR mirror — stopband width, peak reflectance, and dispersion.

Dielectric Stack Theory

Quarter-wave dielectric stack reflectance. Alternating high/low index layers create high-reflectance mirrors — the basis of dielectric mirrors and VCSELs.

Dual-Band AR Coating

Three-layer anti-reflection coating fitted for two wavelengths: thicknesses, residual reflectance and the band below 1 % around each.

Edge Filter Design

Long-pass and short-pass quarter-wave edge filters, (H/2 L H/2)^N and (L/2 H L/2)^N: design wavelength for an edge, 50 % point and R/T spectrum.

Ellipsometry Measurement

Invert ellipsometry data (Psi, Delta) to the pseudo-dielectric function and pseudo-refractive index of a substrate, or to the thickness of a transparent film of known index.

Emissivity Control

Thermal emittance of a coated opaque surface from Kirchhoff's law: low-e metal films and overcoats, Planck-weighted over a band at any temperature.

Enhanced Aluminum Mirror

Aluminium mirror with quarter-wave enhancing pairs: reflectance at the design wavelength and over 400–700 nm, against bare Al.

Environmental Stability

How water in porous layers and temperature shift a quarter-wave stack's spectrum, how much area particles of an IEST-STD-CC1246 cleanliness level obscure, and the Arrhenius–Peck acceleration factor of an ageing test.

Fabry-Pérot Filter

Fabry-Pérot etalon/filter transmission based on the Airy function. Explore how mirror reflectance and cavity spacing control spectral selectivity.

Gradient Index Coating

Graded-index coating from the substrate index to a low surface index: broadband AR from a smooth profile (linear, cosine or exponential).

Hard Coating Design

Single hard coating on a lens or window: reflectance and the absentee (half-wave) thickness, substrate bow from film stress (Stoney), and the thickness below which the film cannot delaminate.

Heat Mirror Design

Transparent heat mirror (low-e glass): a thin silver film between two high-index layers. Light and solar transmittance of the pane and the thermal emittance of the coated face.

Ion-Assisted Deposition (IAD)

Ion-assisted deposition: ion and molecule arrival rates, ions per deposited molecule, and ion energy and momentum per molecule from the ion current density, ion energy and deposition rate.

IR Blocking Filter

IR-blocking filter (hot mirror): short-pass quarter-wave stacks in series reflect the near IR and transmit the visible.

Metal-Dielectric Coatings

Metal-dielectric coating design. Explore how a dielectric overcoat modifies the reflectance, transmittance, and absorptance of a thin metal layer.

Narrow Bandpass Filter

Multiple-cavity Fabry-Perot filter with long quarter-wave mirrors: a narrow, flat-topped pass band, its FWHM, peak transmittance and ripple.

Notch Filter

Rejection notch filter — high reflectance at target wavelength, transmits elsewhere.

Partial Reflector Design

Reflectance of a single dielectric layer for partial reflectors (output couplers, etalon mirrors), from the bare substrate up to the quarter-wave maximum.

Phase Shift Coatings

Phase shift accumulated in thin film coatings. Explore how film thickness and refractive index affect the optical phase of reflected and transmitted light.

Plasma Deposition

Argon discharge for plasma-assisted deposition: electron temperature from particle balance, plasma density from power balance, ion flux and ion energy at the substrate, Debye length.

Protected Silver Mirror

Protected silver coating — high reflectance from the visible to the IR with dielectric overcoat and adhesion layer.

Quarter-Wave Thickness

Quarter-wave optical thickness (QWOT): nd = λ/4, and the single-layer reflectance at the design wavelength. Zero reflectance when nfilm = √(ninc·nsub).

Solar Protection Coating

All-dielectric solar-control coating on glass: UV and near-IR reflectors, with transmittances weighted by the ASTM G173 AM1.5 solar spectrum.

Spectrophotometry

Model spectrophotometric R, T, A spectra for a single absorbing thin film using transfer matrix method with complex refractive index.

Sputtering Deposition

DC magnetron sputtering of a metal target in argon: ion current, sputtered atom rate from measured yields, on-axis deposition rate, sputtered-atom energy, gas thermalisation distance and structure zone.

Thermal Evaporation

Thermal evaporation of metals: vapour pressure from the Alcock et al. fits, Hertz–Knudsen flux, growth rate and thickness profile from a small cosine source, mean free path and structure zone.

Thin Film Interference Conditions

Constructive and destructive interference patterns from a single thin film, accounting for phase shifts at boundaries.

Thin Film Stress Measurement

Calculate film stress from substrate curvature using the Stoney equation. Includes thermal stress decomposition and stored elastic energy.

Two-Layer AR Coating

Transfer-matrix method for two-layer quarter-quarter (V-coat) AR designs. Both layers at quarter-wave optical thickness.

UV Blocking Filter

UV-blocking filter: long-pass quarter-wave stacks in series reflect the UV and transmit the visible.

Wavelength Separation

Wavelength separation coatings combine quarter-wave stacks at different design wavelengths to reflect some bands and transmit others.

Wedge Thin Film

Wedged thin films have a linearly varying thickness across the surface, creating fringes of equal thickness with spacing λ/(2n·tan α).

Wide Bandpass Filter

Wide band-pass filter from a long-pass edge filter on one face and a short-pass on the other: 50 % points, width and peak transmittance.